The sum of the interior angles of a decagon is 1440 degrees.
Understanding the Formula
To calculate the sum of the interior angles of any polygon, you can use the following formula:
*(n - 2) 180°**
Where:
- n represents the number of sides of the polygon.
Applying the Formula to a Decagon
Since a decagon has 10 sides (n = 10), we can substitute the value into the formula:
(10 - 2) 180° = 8 180° = 1440°
Practical Insights
- This formula applies to all polygons, not just decagons.
- The sum of interior angles increases as the number of sides in the polygon increases.
